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Finding the Fourth Proportional to 47,361.24, 65,356.54 and 26,140.20

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Solution

The fourth proportional to 47,361.24, 65,356.54 and 26,140.20 is: 36,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,361.24 : 65,356.54 = 26,140.20 : x
  2. Step 2: Convert to fraction form
    47,361.24/65,356.54 = 26,140.20/x
  3. Step 3: Cross multiply
    47,361.24x = 65,356.54 × 26,140.20
  4. Step 4: Simplify right side
    47,361.24x = 1,708,433,026.91
  5. Step 5: Solve for x
    x = 1,708,433,026.91/47,361.24
  6. Step 6: Final answer
    x = 36,072.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.